Stability in Modules for Classical Lie Algebras : A Constructive Approach.
- 1st ed.
- 1 online resource (177 pages)
- Memoirs of the American Mathematical Society ; v.85 .
- Memoirs of the American Mathematical Society .
Intro -- Table of Contents -- Introduction -- 1. Preliminaries -- 2. The Tensor Product Realization -- 3. The Dominant Weights of ⊗[sup(m)]V(ω[sub(1)],X[sub(r)]) -- 4. The Dominant Weights of V(λ, X[sub(r)]) -- 5. Dimensions and Polynomials -- 6. Stability of g[sub(r)](⊗[sup(M')]V(ω,X[sub(r)])⊗g[sup(r')](⊗[sup(M")]V(ω,X[sub(r)]) -- 7. Stability of V(λ, X[sub(r)]) ⊗V(λ', X[sub(r)]) -- 8. Multiplicities of the Dominant Weights of V(λ, X[sub(r)]) -- 9. Algorithms and Examples -- Notation -- References.